HELP QUICK PLEASE!!

HELP QUICK PLEASE!!

Answers

Answer 1

\(\huge\mathfrak\red{Its\:letter\:D}\)

D

:)


Related Questions

1.9x = 4.75
what is the x

Answers

Answer:

x=2.5

Step-by-step explanation:

Just divide 4.75 by 1.9.

TWO MOVES TO FIT IN THE CLEAR SHAPE

TWO MOVES TO FIT IN THE CLEAR SHAPE

Answers

Answer:

Answer:Move right twice

Question 4(Multiple Choice Worth 6 points)
(03.02 MC)
How does the graph of g(x) = (x + 2)3 - 6 compare to the parent function of f(x) = x³?
Og(x) is shifted 2 units to the right and 6 units down.
Og(x) is shifted 6 units to the right and 2 units up.
g(x) is shifted 2 units to the left and 6 units down.
g(x) is shifted 6 units to the left and 2 units down.

Answers

The relationship of the graph g(x) = (x − 2)³ + 6 compare to the parent function of f(x) = x³ is that g(x) is shifted 2 units to the right and 6 units up.

What is translation of coordinates?

Translations are a transformation technique that changes the position of an object from one point on the plane to another.

Given is a function, g(x) = (x − 2)³ + 6, we need to compare the graph of g(x) = (x + 2)³ - 6 to the parent function of f(x) = x³

The function compared to f(x) = x³, shows a translation of f(x) by 2 unit to the right along the horizontal and vertical translation of the function 6 units up

Hence, the relationship of the graph g(x) = (x − 2)³ + 6 compare to the parent function of f(x) = x³ is that g(x) is shifted 2 units to the right and 6 units up.

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9. Look at some of the printed letters in a textbook. The small horizontal
and vertical segments attached to the ends of the letters are called
serifs. Most of the letters in a textbook are in a serif typeface. The
letters on this page do not have serifs, so these letters are in a sans-
serif typeface. (Sans means "without" in French.) The figure shows a
capital letter A with serifs. Use the given information to write a
paragraph proof that the serif, segment HI, is parallel to segment JK.
Given: 21 and 23 are supplementary.
Prove: HI || JK

Answers

By considering the given information that angles 21 and 23 are supplementary and analyzing the properties of supplementary angles and parallel lines, we have proven that segment HI is parallel to segment JK.

To prove that segment HI is parallel to segment JK based on the given information that angles 21 and 23 are supplementary, we can utilize the properties of supplementary angles and parallel lines.

First, let's examine the given figure and information.

We have a capital letter A with serifs, where segment HI represents one of the serifs, and segment JK represents a horizontal line within the letter A.

To begin the proof, we'll make use of the fact that angles 21 and 23 are supplementary.

Supplementary angles are defined as two angles whose measures sum up to 180 degrees.

We can observe that angle 21 is an interior angle of triangle AHI, and angle 23 is an interior angle of triangle AJK.

Since angles 21 and 23 are supplementary, their sum is equal to 180 degrees.

Now, let's assume that segments HI and JK are not parallel.

In this case, if we extend lines HA and JA, they will eventually intersect at point P.

Since the angles formed at the point of intersection are supplementary (angle 21 + angle 23 = 180 degrees), it would imply that angle 21 and angle PJK, as well as angle 23 and angle PHI, are also supplementary.

However, this leads to a contradiction. In the original figure, we can observe that angle 21 and angle PJK do not form a supplementary pair since angle PJK is a right angle (90 degrees) in the letter A.

Therefore, our assumption that segments HI and JK are not parallel must be incorrect.

Consequently, we can conclude that segment HI is indeed parallel to segment JK.

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why is arg z discontinuous at 0

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The argument of a complex number z, denoted as arg z, is the angle between the positive real axis and the line connecting the origin to z in the complex plane.

When z is a positive real number, its argument is 0, and when z is a negative real number, its argument is π radians. However, arg z is undefined at 0 because the angle between the positive real axis and any line passing through the origin is not well-defined. This is because the argument function is discontinuous at 0, meaning that the limit of the argument as z approaches 0 from different directions does not exist. For example, the argument of a complex number approaching 0 from the positive real axis is 0, while the argument of a complex number approaching 0 from the negative real axis is π. Therefore, arg z is not continuous at 0 and is undefined at this point.

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8 7 6 Number of days 4 2 1 0 Sunny Cloudy Rainy Snowy Weather condition Based on this data, what is a reasonable estimate of the probability that it is sunny tomorrow? Choose the best answer. Choose 1 answer:

Answers

total days = 3+5+2+2 = 12

Sunny days = 3

Divide the sunny days by the total number of days

P = 3/12 = 0.25

Round 217.72668318 to the nearest thousandth

Answers

hi <3

as the value after the thousandth place is 6, you would need to round up

thus, your answer would be 217.727

hope this helps :)

Answer:

217.727

Step-by-step explanation:

Which expression is equivalent to (25x-4)^16? a.(5x-2)^8 b.(25x-4)^8 c.(5x-2)^4 d.(25x-4)^4

Which expression is equivalent to (25x-4)^16? a.(5x-2)^8 b.(25x-4)^8 c.(5x-2)^4 d.(25x-4)^4

Answers

Answer: 23692929

Step-by-step explanation:

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

\((25x-4)^8\)

»»————- ★ ————-««  

Here’s why:

⸻⸻⸻⸻  

\(\boxed{\text{Calculating the Answer....}}\\\\\rightarrow\sqrt{(25x-4)^{16}}\\\\\rightarrow (25x-4)^{\frac{16}{2}}\\\\\text{Recall that: }a^{\frac{b}{c}}=\sqrt[c]{a^b}\\\\\rightarrow\boxed{(25x-4)^8}\\\\\text{Side Note: }\frac{16}{2}=8\)

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

Consider the line 3x+8y=1what is the slope of a line parallel to this line?what is the slope of a line perpendicular to this line?

Answers

To find the slope of the line given, we write the equation in slope-intercept form:

\(y=mx+b\)

For the equation,

\(3x+8y=1\)

subtracting 3x from both sides gives

\(8y=1-3x\)

Finally, dividing both sides by 8 gives

\(y=\frac{1-3x}{8}\)

which can be rearranged and written as

\(y=-\frac{3}{8}x+\frac{1}{8}\)

Hence, the slope of the line parallel to the given line is -3/8.

To find the slope of the perpendicular line, we have to remember that

\(m_{\perp}=-\frac{1}{m}\)

Since m = -3/8, the above gives

\(m_{\perp}=-\frac{1}{(-\frac{3}{8})}\)

Simplifying the above gives

\(m_{\perp}=\frac{8}{3}\)

Hence, the slope of the perpendicular line is 8/3.

erold’s weekly pay rate is $865. He receives a 25% pay raise. How can Jerold calculate his new weekly pay rate? Select all that apply.
A divide $865 by 0.25
B divide $865 by 1.25
C multiply $865 by 0.25
D multiply $865 by 1.25
E Solve for x: x···8655 125···100
F Solve for x: 865···x5 25···100

Answers

Answer:

D

Step-by-step explanation:

865 increase 25% =

865 × (1 + 25%) = 865 × (1 + 0.25) = 1081.25

Suppose a designer has a palette of 14 colors to work with, and wants to design a flag with 4 vertical stripes, all of different colors.
How many possible flags can be created?

Answers

Answer:

182

The number of permutations of 14 things taken 2 at a time is ...

 14P2 = 14·13 = 182

The first color can be any of the 14 on the palette. The second color must be different, so can be any of the remaining 13.

___

We assume that a "yellow/red" flag is different from a "red/yellow" flag. That is, order matters.

. The production function for a firm in the business of calculator assembly is given by where q denotes finished calculator e qutput a 2(k) ^1/3
, is a price-taker both for calculators (which sell for P ) and for k (which in a rental rate of v per hour). a rental rate of v per hour). a. What is the total cost function (C) for this firm? b. What is the supply function (i.e., MC) for assembled calculators [q(P,v)] ? Also find q, which you will use in c. c. What is the profit function ( π ) for this firm -stated as a function of the parameters "p" and " v" "? d. What is this firm's demand function for k[k(P,v)] ? e. Describe intuitively why the above functions (C, MC, π,k) have the form they do.

Answers

The total cost function considers the costs of labor and capital, the supply function determines the quantity supplied based on the production function, the profit function calculates the difference between revenue and cost, and the demand function for capital reflects the equilibrium between the marginal product of capital and the rental rate.

a. The total cost function (C) for this firm can be calculated by multiplying the cost of labor (w) with the number of hours of labor (L) and adding it to the cost of capital (r) multiplied by the quantity of capital (K).

So, C = wL + rK.

b. The supply function (MC) for assembled calculators [q(P,v)] can be found by taking the derivative of the production function with respect to q. In this case, MC = ∂q/∂k * ∂k/∂P.

To find q, you will need to substitute the given value of P and v into the production function.

c. The profit function (π) for this firm, stated as a function of the parameters "P" and "v", can be calculated by subtracting the total cost (C) from the revenue (P*q).

So, π = P*q - C.

d. The demand function for capital (k) can be obtained by equating the marginal product of capital (∂q/∂k) to the rental rate (v).

Solve for k to find the demand function for k.

e. The above functions (C, MC, π, k) have the form they do because they are derived from economic principles such as cost minimization, profit maximization, and the marginal productivity of inputs.

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D what is the image point
of (3-4) after a translation
left 2 units and ups units?

Answers

Answer:

(1,-2)

Step-by-step explanation:

You minus 2 from the x, and add 2 units to the y

What is SSS similarity theorem examples?

Answers

The examples of SSS similarity theorem (i.e If all the three sides of a triangle are in proportion to the three sides of another one) are ∆ABC is similar ∆DEF and one large triangle is similar to smaller one as seen in above figure.

SSS Triangle Similarity Examples : 1) How can you use the SSS similarity criterion to show that the following triangles are similar?

Only non-zero angles are specified. SSA is not a measure of triangle similarity, so we cannot say that these triangles are similar by SSA. However, since they are right triangles, you can use the Pythagorean theorem to find the third side of any triangle.

for large triangle 36² + x² = 45²

=> x² = 45² - 36² = 2025 - 1296 = 729

=> x = √729 = 27

for small triangle 12² + x² = 15²

=> x² = 15² - 12² = 225 - 144 = 81

=> x =√81 = 9

All three pairs of sides are proportional in ratio 3. Therefore, triangles are more similar to SSS~.

2) Are the triangles (that is, ΔABC and ΔDEF) similar?

All triangles have the same three sides. The ratio between each pair of sides is 4x/x = 4. The triangles through SSS~ are similar because the three pairs of sides are proportional.

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What is SSS similarity theorem examples?

a significance test allows you to reject a null hypothesis h0 in favor of an alternative ha at the 5% significance level. what can you say about significance at the 1% level?

Answers

A significance test at the 5% level of significance allows us to reject the null hypothesis in favor of an alternative hypothesis, while a significance test at the 1% level of significance requires stronger evidence to reject the null hypothesis and reduces the chance of making a Type I error.

When conducting a significance test, the 5% level of significance is commonly used to determine whether to reject or fail to reject the null hypothesis. This level of significance means that there is a 5% chance of making a Type I error, which is the incorrect rejection of the null hypothesis. In other words, there is a 5% chance that we will conclude that there is a significant difference between groups when in reality there is no difference.
Now, if we lower the level of significance to 1%, we are reducing the chance of making a Type I error to 1%. This means that we are becoming more stringent in our decision-making process and requiring stronger evidence to reject the null hypothesis. Therefore, if we reject the null hypothesis at the 1% level of significance, we can be more confident that our results are statistically significant and not due to chance.
It is important to note that reducing the level of significance also increases the risk of making a Type II error, which is the failure to reject the null hypothesis when it is actually false. Therefore, when choosing a level of significance, it is important to consider the potential consequences of both types of errors and weigh the risks accordingly.
In summary, a significance test at the 5% level of significance allows us to reject the null hypothesis in favor of an alternative hypothesis, while a significance test at the 1% level of significance requires stronger evidence to reject the null hypothesis and reduces the chance of making a Type I error.

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Solve the equation. Write no solution if there is none

Solve the equation. Write no solution if there is none

Answers

Answer:

no solution

Step-by-step explanation:

|m|/2 -1=-3

step 1= |m|/2=-3+1

step 2=|m|/2=-2

Step 3: Solve Absolute Value.

  |m|=−4

No solutions. (Absolute value cannot be less than 0.)

Greetings,

I hope you and your family are staying safe and healthy!

Answer: No Solution

Step-by-step explanation:

\(\frac{|m|}{2} - 1 = -3\\\\\frac{|m|-2}{2} = -3\\\\\)

Alternate forms assuming m > 0

\(\frac{m}{2} -1 = -3\\\\\frac{m-2}{2} = -2\)

\(\frac{\sqrt{m^2} }{2} - 1 = -3\)

Therefore,

No solutions exist.

I guaranteed correct answers only. Please kindly rate my answer and press the heart. Thanks!

The melting point of ice is 0 degree celsius. during a chemistry experiment, jill observed ice melting within 2 degrees celsius of this measurement. find the range of temperature that jill observed. define a variable, write an inequality, and solve.

Answers

The typical definition of the melting point is the temperature at which a substance transforms from a solid to a liquid.

What do you mean by melting point?

melting point, temperature at which the solid and liquid forms of a pure substance can exist in equilibrium. As heat is applied to a solid, its temperature will increase until the melting point is reached.

The melting point of a liquid is the temperature at which the liquid transforms from a solid to a liquid under atmospheric pressure. This is the location where the liquid and solid phases are equally present. The substance's melting point varies with pressure as well and is reported at standard pressure.

As the melting point is 0 °C.

So, it melts at 2 C. It can melt from 0 °C – 2 °C to 0 °C + 2 °C.

Range = [-2, 2] in °C.

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What's 5x-7x+6=-2(x-3)

Answers

Answer:5x - 7x + 6 = -2(x - 3)

-2x + 6 = -2x + 6

0x = 0

Step-by-step explanation:

Answer:

There are infinite solutions because -2x+6=-2x+6

Step-by-step explanation:

I hope that this helps u..

Round your answer to the nearest hundredth.
C=2
A=?
B=8

Answers

Answer:

A = 8.2462112512353

I hope it's helps you

Graph the solution to this inequality on the number line.

x+5<−2

First select the correct ray. Then select the location of the endpoint to plot the inequality on the number line.

Graph the solution to this inequality on the number line.x+5&lt;2First select the correct ray. Then select

Answers

The solution to the inequality \(x + 5 < -2\) is \(x < -7\)

Inequalities

Inequalities are used to represent unequal expressions

Number lines

Number lines are used to relate numbers at a constant interval

The inequality is given as:

\(x + 5 < -2\)

Subtract 5 from both sides of the inequality

\(x + 5 -5< -2-5\)

Evaluate like terms

\(x < -7\)

See attachment for the graph of the inequality

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Graph the solution to this inequality on the number line.x+5&lt;2First select the correct ray. Then select

rachel got prepaid debit card with $30 on it. For her first purchase with the card, she bought some bulk ribbon at a craft store. The price of the ribbon was 22 cents per yard. If after that purchase there was $19.88 left on the car, how many yards of ribbon did rachel buy.

Answers

Answer:

46 yards.

Step-by-step explanation:

Subtract the new balance from the original balance:

30.00 - 19.88 = 10.12

Therefore, Rachel spent $10.12

Divide the result by the cost of ribbons per yard:

10.12 ÷ 0.22 = 46

Therefore, Racheal bought 46 yeards of ribbon.

answer and please show work.​

answer and please show work.

Answers

For the equation y=3x−5 , the slope is 3 and the y-intercept is −5 .

Slope is equal to the change in y over the change of x, or rise over run.m=change in y / change in x

The change in x
is equal to the difference in x-coordinates (also called run), and the change in y
is equal to the difference in y-coordinates (also called rise).
m= y2-y1/x2-x1.
Substitute in the values of x and y into the equation to find the slope.
m =-4 -(7)/ -6 -(-4)

Simplify.

m=11/2.
answer and please show work.

state the domain of f(x) = √x

Answers

Answer:

The domain is equal to (x)=√x

(x)=x is x>0x>0

Which statement is true

Which statement is true

Answers

Answer:

3/6 = 4/8

Step-by-step explanation:

they're both halves

What is the volume of a cube with a side length of 3t5units?

Cube V = s3

3t8 units3
9t15 units3
27t15 units3
243t5 units3

Answers

Answer:

C;27t15 units3

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

What is the volume of a cube with a side length of 3t5units?Cube V = s33t8 units39t15 units327t15 units3243t5

There are 2 blue marbles and 8 yellow marbles in John's pocket. He randomly takes out marbles one by one. What is the probability that there are no blue marbles within the first 4 trials? [2K) 2. What is the probability that there is exactly one blue marble within the first 4? (2K) 2. Given there are at least one blue marble within the first 3 trials, what is the probability the 2 marble is blue? [3] 4. How many trials should John expect to wait before getting a blue marble? (37) 5. Mary and Marylyn are good friends since elementary school. Now they both have two children. Mary has only one son, and Marylyn has at least one son. What are the probabilities of their second children being boys, respectively? [4T]

Answers

The probability of not drawing a blue marble in the first trial is given by the ratio of the number of yellow marbles to the total number of marbles: 8/10. After removing one yellow marble, the probability of not drawing a blue marble in the second trial becomes 7/9. Similarly, for the third trial, the probability is 6/8, and for the fourth trial, it is 5/7. To find the probability of not drawing a blue marble in all four trials, we multiply these individual probabilities together: (8/10) * (7/9) * (6/8) * (5/7) = 0.2.

To calculate the probability of not drawing a blue marble in the first four trials, we use the concept of conditional probability. We assume that each marble is drawn without replacement, meaning that once a marble is selected, it is not put back into the pocket. Since the marbles are drawn randomly, the probability of choosing a specific marble on any given trial depends on the composition of the remaining marbles. In this case, we multiply the probabilities of each trial together because we want to find the probability of multiple independent events occurring consecutively.

2. The probability of having exactly one blue marble within the first four trials can be calculated using a combination of probabilities. There are four possible positions for the blue marble within the four trials: first trial, second trial, third trial, or fourth trial. We can calculate the probability of having the blue marble in each of these positions and sum them up.

The probability of the blue marble being in the first trial is (2/10) * (8/9) * (7/8) * (6/7) = 0.1333.

The probability of the blue marble being in the second trial is (8/10) * (2/9) * (7/8) * (6/7) = 0.1333.

The probability of the blue marble being in the third trial is (8/10) * (7/9) * (2/8) * (6/7) = 0.1333.

The probability of the blue marble being in the fourth trial is (8/10) * (7/9) * (6/8) * (2/7) = 0.1333.

Adding these probabilities together gives a total probability of 0.1333 + 0.1333 + 0.1333 + 0.1333 = 0.5333.

We use the concept of conditional probability and calculate the individual probabilities for each position where the blue marble can be found. In each calculation, we multiply the probability of selecting a blue marble in the given position with the probabilities of selecting yellow marbles in the other positions. Then, we add up these individual probabilities to find the overall probability of having exactly one blue marble within the first four trials.

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Find the slope of the line that passes through (2, 9) and (10, 2)

Answers

Answer:

the slope is -7/8

Step-by-step explanation:

if you graph the points you can find the graph

Find the slope of the line that passes through (2, 9) and (10, 2)

a political scientist investigated the effect of political advertisements on the way that people voted in the presidential election. they want to do a hypothesis test to determine if political advertisements influenced the vote of less than 31% of all voters. the political scientist randomly surveyed 2509 voters and asked if political advertisements influenced the way the person voted. 709 said the advertisements did influence their vote. calculate the test statistic. round your final answer to two decimal places.

Answers

The probability of the influenced voters, if The political scientist randomly surveyed 2509 voters, 709 said the advertisements did influence their vote, is 0.283.

What is probability?

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a value between 0 and 1.

Given:

The political scientist randomly surveyed 2509 voters, n = 2509,

709 said the advertisements did influence their vote, S = 709,

Calculate the probability of influenced voter as shown below,

\(Probability = S / n\)

Probability = 709 / 2509

Probability = 0.283

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what is the answer?????????????????????????????????????

what is the answer?????????????????????????????????????

Answers

Answer:

A

Step-by-step explanation:

A hyperbola is centered at the origin and opens either horizontally or vertically. It passes through the points $(-3, 4),$ $(-2, 0),$ and $(t, 2).$ Find $t^2.$

Answers

The value of t^2 is  5.25.

The fact that the graph crosses the x-axis means the hyperbola opens to the left and right. Hence its equation is ...

 x^2/a - y^2/b = 1

The point (-2, 0) helps us find "a":

 (-2)^2/a - 0/b = 1

 4 = a

Then we can find "b" from the other fully-specified point.

 (-3)^2/4 - 4^2/b = 1 . . . . . . substitute (-3, 4) for (x, y)

 b = 16/(9/4 -1) = 64/5 . . . . solve for b

Then the third point will satisfy ...

 t^2/4 - (5/64)·2^2 = 1 . . . . . . substitute (t, 2) for (x, y)

 t^2 = 4·(1 +5/16) = 4 +5/4 . . . . solve for t^2

 t^2 = 5.25

In arithmetic, a hyperbola is a type of clean curve mendacity in a plane, described by means of its geometric residences or through equations for which it's miles the solution set. A hyperbola has pieces, called linked additives or branches, which can replicate snapshots of every other and resemble two limitless bows.

Something parallel to the horizon is referred to as horizontal. As vertical is the other of horizontal, whatever that makes a 90-degree angle (right attitude) with the horizontal or the horizon is referred to as vertical. So, the horizontal line is one that runs throughout from left to right. Use of horizontal and vertical in mathematics.

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Tommy earned $62.40 in interest after 4 years on a principal of $400. His simple interest rate is 3.9%. Janeearned $66.60 in interest after 3 years on a principal of $600. Her simple interest rate is 3.7%. Which bank would you ratheruse, Tommy's or Jane's? Explain your reasoning. Why are the lysosomes useful during entrapment of particles? A 16 foot ladder rests against a vertical wall. If the bottom of the ladder is pushed away from the wall at 3 ft/sec, how fast is the top of the ladder moving down the wall when the bottom is 9 feet from the wall Please help me with this one What is the meaning of a Bayan? What sentence best conveys the speakers message? a. nature is more powerful than humans. b. victory is unlikely when one is outnumbered. c. there is honor in dying courageously.d. nonviolence is the only way to prevent bloodshed. A company entered into the following transactions. Match each transaction with the appropriate journal in which it should be recorded. Purchased merchandise from Able Co. for $2,000 terms 2/10, n/30. Invoice dated August 1. A. General Journal Paid cash to Incite Telephone Co. for monthly telephone bill $250, Check No. 758. B. Purchases journal Sold merchandise on credit to Delta Corp. for $3,000, terms, 2/10, n/30, Invoice No. 246. Cost of Goods Sold is $1,740. c. Cash payments journal Received cash payment in full from Delta Corp. for August 5 sale. D. Sales Journal Recorded cash sales for the month, $9,000. E. Cash receipts journal Returned defective inventory purchased on account from Able Co. for $550. Moving to another question will save this response unlike most eukaryotes, prokaryotes make polycistronic mrnas. these polycistronic mrnas encode more than one protein. in order to properly synthesize all of the encoded proteins, these prokaryotic polycistronic mrnas must duplicate which mrna components? choose one or more: The magnetic field produced by an electric current either points towards the current or away from the current, depending on the direction of the current. (section 20. 2). Why did the overland migratory stream from Asia to the Americas end approximately eleven thousand years ago Argues that the US needs to face up to the realities of globalization and abandon the older policies of a "self-indulgent national economy" A cutting process has an upper specification of 1.788 feet and a lower specification of 1.752 feet. A sample of parts had a mean of 1.77 feet with a standard deviation of 0.034 feet.What standard deviation will be needed to arcive a proses capability index of 2.0 julius operates an athletic apparel store. his records indicate that he had sales of $97,000. customers returned $2,000 worth of clothing and shoes because of various reasons. his cost of goods sold was $25,000. what is julius's schedule c (form 1040) gross profit? What is n-7 indicate the favored position of substitution in the electrophilic bromination of the following compound by augmenting the structure provided with a br added during the addition.1st attempt O See Hint H S F P Cl Br H;C I + I 0 which country controlled the part of North America that would become Kansas? spain or france? Business is significant because it 7a +42 +8 < -10 + 9a -6 + 4a In order to increase the force in an ideal spring by a factor of 5, the compression must increase by a factor of? A shared lock allows which of the following types of transactions to occur?A. DeleteB. InsertC. ReadD. Update